Homework Answers
C (q) = 400q + (400 / q) + 4
Price per bike = $165
Total Revenue = p * q = $165q
a) Daily profit function = Total Revenue - Total Cost = 165q - 400q - (400 / q) - 4 = - 235q - (400 / q) - 4
b) Break - even quantity occurs when Total Revenue = Total Cost
165q = 400q + (400 / q) + 4
235q + (400 / q) + 4 = 0
235q^2 + 4q + 400 = 0
This can never be possible as coefficients of all terms is positive whose sum cannit be zero, it would always be greater than 0.
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